Given :
For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres left over.
To Find :
How many litres of lemonade were sold.
Solution :
Initial amount of lemonade, I = 12 1/2 = 25/2 litres.
Final amount of lemonade, F = 2 5/8 = 21/8 litres.
Amount of lemonade sold, A = I - F
A = 25/2 - 21/8 litres
A = 9.875 litres
Therefore, 9.875 litres of lemonade were sold.
Hence, this is the required solution.
A right triangle with leg lengths of 4 and 3 units has to be positioned in the
coordinate plane to write a coordinate proof. Which set of coordinates
would make the proof easier to complete?
Answer:(0,4),(0,0),(3,0)
Step-by-step explanation:
It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.
As in this answer has y intercept, and x intercept, and (0,0)
Helpp hurry plzzz!!
Which is an equation of the line parallel to 4y - 7x = 8 and passes through (-4, 0)?
A. y = 7/4x + 7
B. y = - 7x - 28
C. y = - 7/4x - 7
D. y = 7x + 28
Answer:
A. y = 7/4x + 7
Step-by-step explanation:
y = mx +c
4y -7x = 8
(make y the subject of formulae)
4y = 8 + 7x
divide through by the coefficient of y (4)
y = 2 + 7/4x
7/4 = m1
since the line is parallel m1 = m2
let see : {y -y¹}÷ {x-x1} = 7/4
x¹= -4 , y¹ = 0
{y - 0} ÷ {x- (-4) } = 7/4
cross multiply
4(y - 0) = 7(x+4)
4y - 0 = 7x + 28
4y = 7x +28 +0
4y = 7x + 28
(divide both sides by the coefficient of y)
y = 7/4x +28/4
y = 7/4x + 7
The bill came to 240. You leave 20% tip. How much is the tip?
Answer:
20% of 240 should be 48.
Rewrite the rational exponent as a radical
Answer:
C OR D
Step-by-step explanation:
Faye bought 3 bookmarks at the book store if each bookmark cost $1.40 and she paid with a twenty dollar bill how much change should she get back
Answer:
$15.80
Step-by-step explanation:
First you multiply $1.40 times 3 to get $4.20 then you subtract the $4.20 from $20 to get $15.80
Jimmy and Lauren are
organizing transportation for
a field trip from ACIT. Jimmy
found out that his group has
841 students, and he needs 9
vans and 16 buses to
accommodate. While Lauren’s
group has 351 students, and
she needs 8 vans and 5 buses
for them. How many students
fit in a van and a bus for this
field trip? (please include steps)
Step-by-step explanation:
Jimmy's group : has 841 students
Lauren's group: has 351 students
9 vans 16 buses
8 vans 5 buses
Vans: V
Buses: B
9v + 16b = 841
9v + 16b = 841
-16b -16b
9v/ 9 = 841 /9 - 16b/9
8( 841/9 - 16b/9) +5b = 351
v - (841/ 9 - 16b / 9 )
8 (841 / 9 - 16b/9) +5b = 351
6728/9 - 128b / 9 +5b = 351
-128b/9 + 45b/9 = -83/9b
6728/9 -83/9
- 6728/9 +83/9 = 3159/9 - 6728/9
(9)83b / 9 = -3569 (9)/9
-83b = -3564
-83 -83
B = 43 students
8v + 5b = 351
8v + 5 (43) = 351
8v + 215 = 315
-215 -215
8v = 136
8 8
V = 17 students
43 students can fit on a bus and 17 students can fit in a van.
2u - 6u =
( worth 10 points)
Evan's mother had 6 gallons of ice cream in the freezer that
she used for his birthday party. If the guests ate % of the ice
cream, how many gallons of ice cream were eaten at the.
party?
Answer:5 and 1/16
Step-by-step explanation:
Help me I’m dumb , I feel as if I’m right but I ain’t sure.
Answer:don’t worry u not dum and also im sorry that’s not a function.
Step-by-step explanation:
Give me brainliest!
help plz it's a 9th grade question
⚠️Tell if the following systems of equations have zero, one, or infinite solutions: -6x + 3y=18 and y=2x - 2⚠️
Answer:
0 solutions
Step-by-step explanation:
-6x+3y=18
y=2x-2. so substitute y in the first equation
-6x+3(2x-2)=18 distribute and combine like terms
-6x +6x-6=18 and we end up with
-6=18 witch is never true so the system of equation has 0 solutions
7/15 simplified I’ve tried everything!!PLEASE ANSWER ASAP
Answer:
You cannot simplify 7/15 to a smaller fraction. But you could divide 7 by 15 to get a decimal.
Step-by-step explanation:
Answer:
you can't simplify the number 7
Susan has a collection of nickels and dimes. If the number of nickels is times the number of dimes, how many nickels and how many dimes does she have?
At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you can receive an additional 15% off the sale price. What is the final price of the smart phone if you use the store credit card? Round to the nearest cent.
If all the relevant discounts are used including the store credit card, the final price of the phone would be $375.15.
The sale price of the phone has been discounted by 35% which makes it:
= Price of phone x (1 - discount)
= 679 x ( 1 - 35%)
= $441.35
Then using the store credit card would reduce this by a further 15%:
= 441.35 x (1 -15%)
= $375.1475
= $375.15
In conclusion, the final price of the phone is $375.15.
Find out more at https://brainly.com/question/19637511.
How do you write a linear equation given the slope and a point that is not the y-intercept?
Answer:
y=mx+c
Step-by-step explanation:
m is the slope
u can calculate c using given coordinates
True or False: sec-10.5 is undefined. Explain your answer.
Since no angle has a cosine of 2, the arcsecant of 0.5 is undefined, and the statement that [tex]\sec^{-1}{0.5}[/tex] is undefined is True.
What is the secant of an angle?The secant of angle is given by one divided by the cosine of the angle, that is:
[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]
The cosine of an angle has values ranging between -1 and 1, hence the values of the seccant are in the following interval:
[tex][1, \infty)[/tex]
The concept of the arcseccant, [tex]arcsec{x} = \theta[/tex] means that angle [tex]\theta[/tex] has a secant value of x.
In this problem, the expression is given by:
[tex]\sec^{-1}{0.5}[/tex]
No angle has a secant of 0.5, as 0.5 is not on the interval [tex][1, \infty)[/tex], hence the statement that [tex]\sec^{-1}{0.5}[/tex] is undefined is True.
More can be learned about the secant of an angle at https://brainly.com/question/13983605
#SPJ1
A rental car agency charges $230.00 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $338.00?
find the slope of the line if it exists
a. the slope is ___
b. the slope is undefined
Answer:
The slope is -4/3.
Step-by-step explanation:
Slope = rise/run. Starting at (3, -1), you go up 4 units and over to the left 3 units to (0,3). Since it's a line of decay, the slope is negative.
Answer:
the slope should be -4/3
Step-by-step explanation:
you go down 4 and to the right 3 so I am pretty sure it is -4/3
Which expression is equivalent to -20 - (-4)
A. -20+4
B. 20+4
C.-20 -4
D. 20-4
The given expression [-20 - (-4)] is equivalent to (-20 + 4).
What is a linear equation?A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
-20 - (- 4)
= (-20 + 4)
Learn more about linear expression here:https://brainly.com/question/24129451
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the price of a item yesterday was $160. today, the price fell to $104. find the percentage decrease
Answer:
-35% decrease in price.
Step-by-step explanation:
Type in "percentage decrease calculator" onto google and click on first result
Here's the equation
if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?
jaheel earn $12.75 per hour plus 4% commission on his furniture sales . During a six-hour shift, jaheel made four sales as shown in the table below
Answer:
$272.50
Step-by-step explanation:
A pair of headphones are on sale for 15% off. The sale price is marked at $51.00, what is the original cost of the headphones?
Answer:
awh i cant help u
Step-by-step explanation:
What are the equations of the lines with the given slope and y-intercept
1. Slope:2, y-intercept: -3
2. Slope: 4, y-intercept: -2
Answer:
1. y=2x-3
2. y=4x-2
Step-by-step explanation:
Find the slope of the line that passes through the given two points:
(1.4) and (3,7)
m =
Please help me don’t use this for Free answers
Answer: 3/2
Step-by-step explanation: slope is 3/2, I calculated it with the slope formula
y-9= 2(x - 5)
Solve for y
Answer:
y=2x-1
Step-by-step explanation:
y-9=2x-10
y=2x -10+9
y=2x-1
Daca adun sfertul lui a cu jumatatea lui b si cu treimea lui c, obtin 120. Stiind ca jumatatea lui b este cu 24 mai mare decat sfertul lui a si de 4 ori mai mare decat treimea lui c, afla cele 3 numere si suma acestora. Ajutor, va rog!
Answer:
Step-by-step explanation:
Dacă adaug un sfert de la jumătate de b și o treime de c, obțin 120.
Aceasta se exprimă ca:
1 / 4a + 1/2 b + 1 / 3c = 120 ..... Ecuația 1
Știind că jumătate din b este de 24 de ori mai mare decât un sfert de a
1 / 2b = (1/4 × a) 24
b / 2 = (a / 4) 24
b / 2 = 6a
Cross Multiply
b = 6a × 2
b = 12a
a = b / 12
Jumătate din b este de 4 ori mai mare decât o treime din c
1/2 × b = 4 × (1/3 × c)
b / 2 = 4 (c / 3)
b / 2 = 4c / 3
Cross Multiply
b = 2 × 4c / 3
b = 8c / 3
8c = 3b
c = 3b/8
1 / 4a + 1/2 b + 1 / 3c = 120 ..... Ecuația 1
Înlocuim
1/4 × b / 12 + 1 / 2b + 1/3 × 3b / 8= 120
b / 48 + b / 2 + b/8 = 120
Înmulțiți cu 48
b/48 × 48 + b/2 × 48 + b/8× 48 = 120 × 48
b + 24b + 6b = 5760
31b = 5760
The formula to find the surface area for a rectangular prism is
=2+2ℎ+2ℎ
S
A
=
2
l
w
+
2
w
h
+
2
l
h
=2+2ℎ+2ℎ
S
A
=
2
l
w
+
2
w
h
+
2
l
h
What is/are the independent variable(s) for the formula?
Answer:
w= a-2hl/2(l+h)
l= a-2hw/2(w+h)
h= a-2wl/2(w+l)
Answer:
The formula to find the surface area for a rectangular prism is - Brainly.com
Step-by-step explanation:
Help me now!!!!! This is due at 12
Answer:
umm what grade are you in???
144/9= 16!!!!!
Step-by-step explanation:
anyways wont act exactly like you and the answer is 16
What is the degree-measure of an angle travelled by the minute hand from 3:05pm to 3:50pm?
Answer:
270°
Step-by-step explanation:
We know that a full circle is 360°, the shape of a clock, and that the clock is divided into 12 different sections.
Our equation would be: 360 ÷ 12 = 30
3:05 is at the 1 hand and 3:50 is at the 10 hand. Subtract 1 from 10 and you get 9.
9 · 30 = 270, so our angle is 270°
I hope this helped, please mark Brainliest, thank you!
